FIKUSZ

Márton Balázs

(BME)

Anomalous scaling of current fluctuations in interacting particle
systems

The field of stochastic interacting particle systems is an interesting
and actively developing area at the intersection of probability
theory,
statistical physics and most recently, combinatorics and asymptotic
analysis. Despite the relatively simple local evolution rules these
systems have, they often show surprisingly interesting behavior. As an
instance, I will demonstrate that the number of particles that pass an
observer who moves with some specific velocity fluctuates with the one
third (!) power of time.

In the talk I will introduce a few models,
and
will prove (with some technical details omitted, of course) the above
scaling. I will only need and use simple tools from elementary
probability theory.